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Finding the Third Proportional to 55,668 and 86,207

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Solution

The third proportional to 55,668 and 86,207 is: 133,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,668 : 86,207 = 86,207 : x
  2. Step 2: Convert to fraction form
    55,668/86,207 = 86,207/x
  3. Step 3: Cross multiply
    55,668x = 86,207 × 86,207
  4. Step 4: Simplify right side
    55,668x = 7,431,646,849
  5. Step 5: Solve for x
    x = 7,431,646,849/55,668
  6. Step 6: Final answer
    x = 133,499.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.